材料表面非线性振荡时间序列的相空间重构

The Phase Space Reconstruction of Material Non-linear Oscillation

在许多固态材料的表面存在着一种天然的非线性振荡花样,这些花样经计算机图像处理在时间和空间上呈现明显的分形特征。利用普通光学显微镜对Cu Zn Al合金表面的金相组织进行观察和分析,用高速摄像机拍摄了典型的振荡现象。借助计算机图像处理技术系统地研究该非线性振荡现象的形貌、结构特征及形成动力学规律,通过计算机编程技术构建系统的非线性动力模型,并重构系统的相空间。用R/S方法对系统时间序列的演化特征进行分析论证,结果表明,这种相空间重构方法具有较好的非线性预报效果。

A kind of natural non-linear oscillation phenomenon on the surface of many solid materials is observed. These non-linear oscillation patterns present evident fractal characters in space and time by computer process. In this paper, we have observed and studied the microstructres of Cu-Zn-Al alloy by the optical microscope, recorded this oscillatory phenomenon by the high-speed video and studied the appearance, characteristic and dynamics law of this nonlinear oscillation phenomenon systematically by the computer picture processing technology. We constructed the non-linear dynamics model of the system by the computer, reconstructed the phase space of the system and made R/S analysis for the time series in order to make nonlinear forecast.